Review Transformation of Function

Match the equation with the graph:

• y = (x - 2)² + 4

• y = -(x - 4)² + 2

• y = -(x - 2)² + 4

• y = -(x + 2)² + 4

Describe the transformations from the original parent function f(x) = x².

g(x) = 5x² + 2

• Vertical Stretch of 5

  Vertical Down 2

• Vertical Compression of 5

  Vertical Up 2

• Vertical Stretch of 5

  Vertical Up 2

• Vertical Compression of 5

  Vertical Down 2

Describe the transformation of y = f(x) for the new function
 y = f(x) - 5

• The graph of y = f(x) was shifted to the right 5 units. 
• The graph of y = f(x) was shifted to the left 5 units. 
• The graph of y = f(x) was shifted up 5 units. 
• The graph of y = f(x) was shifted down 5 units.

Given f(x) = (x-3)² + 5.  What transformations took place from the original function f(x)?

• Left 3 and up 5
• Right 3 and down 5
• Left 3 and down 5
• Right 3 and up 5

Describe the transformation

f(-x)

• reflect over the x-axis

• shift up

• shift down

• reflect over the y-axis

Describe the transformation

f(x) + 4

• shift left 4

• shift right 4

• shift up 4

• shift down 4

Describe the transformation

f(x+5)

• shift left 5

• shift right 5

• shift up 5

• shift down 5

Describe the transformation

f(x-7)

• shift left 7

• shift right 7

• shift up 7

• shift down 7

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If f(x) is the graph below, which graph represents f(x) - 3?

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